Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives

Douglas R. Anderson ()
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Douglas R. Anderson: Concordia College, Department of Mathematics

A chapter in Contributions in Mathematics and Engineering, 2016, pp 25-43 from Springer

Abstract: Abstract We derive Taylor’s theorem using a variation of constants formula for conformable fractional derivatives. This is then employed to extend some recent and classical integral inequalities to the conformable fractional calculus, including the inequalities of Steffensen, Chebyshev, Hermite–Hadamard, Ostrowski, and Grüss.

Keywords: Conformable Fractional Derivative; Classical Integral Inequalities; Chebyshev; Steffensen Inequality; Hermite-Hadamard Type Inequalities (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31317-7_2

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DOI: 10.1007/978-3-319-31317-7_2

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